Vector Practice

Consider three vectors

1. What is the length or magnitude of A?

2. Write an expression for 2A.

3. What is A+B?

4. What is C-A ?

5. What is C X A?

6. What is the magnitude of C X A?

7. What is the angle between A and C?

8. What is B . C?

9. Does B . C equal C . B ?

10. How are C X A and A X C related ?

11. What is the physical meaning of the dot product?

12. Explain the meaning of the cross product.

13. Imagine that the vector A is a force whose units are given in Newtons. Imagine vector B is a radius vector through which the force acts. What is the value of the torque r X F, in this case?

14. Now imagine that A continues to be a force vector and C is a displacement vector whose units are meters. What is the work done in applying force A through a displacement C?

15. What is the vector sum of a vector D given by 40 m, 30 degrees and a vector E given by12 m,220 degrees? Use the method of resolving vectors into their components and then adding the components.